Pith Number

pith:FO3S36AR

pith:2025:FO3S36ARFNSJ7KYAI6I5P73UXK

not attested not anchored not stored refs pending

Eigenvalue estimates for the Coulombic one-particle density matrix and the kinetic energy density matrix

Alexander V. Sobolev

arxiv:2506.16178 v1 · 2025-06-19 · math.SP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FO3S36ARFNSJ7KYAI6I5P73UXK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:24:32.210459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb72df8112b649fab004791d7ff74babc2beb91d3523b83b08396f2cfd599f2

Aliases

arxiv: 2506.16178 · arxiv_version: 2506.16178v1 · doi: 10.48550/arxiv.2506.16178 · pith_short_12: FO3S36ARFNSJ · pith_short_16: FO3S36ARFNSJ7KYA · pith_short_8: FO3S36AR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FO3S36ARFNSJ7KYAI6I5P73UXK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2bb72df8112b649fab004791d7ff74babc2beb91d3523b83b08396f2cfd599f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17da2dc867490294417153843a24ecae99f0c26423b0b63c61fc03c1168382f4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-06-19T09:51:48Z",
    "title_canon_sha256": "2493bbc00ac350a4b9a7b3d3328f59e683bb629b2730b8d14d63ec0d1773ad12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16178",
    "kind": "arxiv",
    "version": 1
  }
}